This book contains one hundred challenging mathematics problems drawn from undergraduate-level math competitions. The book is simply organized: problems, hints, and solutions. Of course, the book should prove useful to students preparing for any type of math competition, such as the William Lowell Putnam Mathematical Competition. But the book is also useful as a problem supplement in standard undergraduate courses. There are a variety of interesting techniques illustrated, some of which are enumerated below. Instructors can either assign these for homework problems, or else use these problems for lecture illustrations of techniques and topics. Throughout the review, a number (or numbers) indicates the corresponding problem(s) in the book.

In conclusion, I think the book has adequate resources justifying it being on any instructor’s bookshelf.

Russell Jay Hendel (RHendel@Towson.Edu) holds a Ph.D. in theoretical mathematics and an Associateship from the Society of Actuaries. He teaches at Towson University. His interests include discrete number theory, applications of technology to education, problem writing, actuarial science and the interaction between mathematics, art and poetry.